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3040055540640 = 253252111149681
BaseRepresentation
bin101100001111010001011…
…011100011101110100000
3101202121220200211120101100
4230033101123203232200
5344302013204300030
610244325432434400
7432431260506666
oct54172133435640
911677820746340
103040055540640
11a7230a10a278
12411224548a00
131908a325a741
14a71d4a00c36
155412b04c360
hex2c3d16e3ba0

3040055540640 has 72 divisors (see below), whose sum is σ = 10374189537348. Its totient is φ = 810681477120.

The previous prime is 3040055540617. The next prime is 3040055540671. The reversal of 3040055540640 is 460455500403.

3040055540640 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 0 + 5 + 5 + 5 + 4 + 0 + 640 = 666.

3040055540640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2950795612944 + 89259927696 = 1717788^2 + 298764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3040055540595 and 3040055540604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1055573401 + ... + 1055576280.

Almost surely, 23040055540640 is an apocalyptic number.

3040055540640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3040055540640 is an abundant number, since it is smaller than the sum of its proper divisors (7334133996708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3040055540640 is a wasteful number, since it uses less digits than its factorization.

3040055540640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111149702 (or 2111149691 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 3040055540640 in words is "three trillion, forty billion, fifty-five million, five hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2111149681 4222299362 6333449043 8444598724 10555748405 12666898086 16889197448 19000347129 21111496810 25333796172 31667245215 33778394896 38000694258 42222993620 50667592344 63334490430 67556789792 76001388516 84445987240 95001735645 101335184688 126668980860 152002777032 168891974480 190003471290 202670369376 253337961720 304005554064 337783948960 380006942580 506675923440 608011108128 760013885160 1013351846880 1520027770320 3040055540640